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Question : The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.

Option 1: 176

Option 2: 188

Option 3: 186

Option 4: 174


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 188


Solution : Given: The batting average for 27 innings of a cricket player is 47 runs.
The batting average for 25 innings is 42 runs (High and low scores excluded).
Also, His highest score (H) in an innings exceeds his lowest score (L) by 157 runs.
⇒ H – L = 157
Now, for total runs in those two innings,
(H + L) = (47 × 27) – (42 × 25)
⇒ (H + L) = 219 runs
Adding the two equations, we get,
So, 2H = 219 + 157 = 376
$\therefore$ H = 188 runs
Hence, the correct answer is 188.

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